7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue balls. If the die shows 2,3,4,5, or 6, a ball is selected from an urn with 3 red balls and 7 blue balls. (a) What is the probability that a blue ball is selected? (b) If we know that a blue ball was selected, what is the probability that I came up on the roll of the die?

Q: In a class of 26 students, 8 have a brother and 6 have a sister. There are 2 students who have a…

A: Given:-

Q: If a die is tossed once what is the probability that a 2 appears on to

A: To find the probability that a 2 appears on top.

Q: Suppose an experiment consists of first picking a ball from an urn and then rolling a single die.…

A: Given data  fist pick a ball from urn and the roll a single die.      urn : 1 blue, 1 brown, one…

Q: A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose a student is selected at random from 100 students where 30 are taking ME, 20 are taking EE,…

A:

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose there are 2 red balls and 4 yellow balls in a box. Two balls are drawn from the box without…

A: Suppose there are 2 red balls and 4 yellow balls in a box.

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: There are two urns. The first urn contains 1 black and 1 white balls. The second urn contains 2…

A:

Q: . An urn contains 5 red balls, 9 blue balls and 6 green balls. Use this information for both (a) and…

A: Urn contain 5 red, 9 blue, 6 green

Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

A: Given An urn contains No. of Red balls=6 No. of Blue balls=13 Total no. of balls=6 red balls +13…

Q: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: 2. If seven coins are tossed simultaneously, find the probability that they will just have three…

A: Given that  Number of coins tossed (n) = 7 In a fair coin Probability of head = Probability of tails…

Q: Suppose a 5 card hand is drawn from a standard deck of 52 cards. What is the probability that there…

A: In a standard deck of 52 cards, there are 4 suits (hearts, diamonds, clubs, spades), each with 13…

Q: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

Q: An urn contains three red, three black, and three green balls. If two balls are selected at random…

A: To work out the probability of the required event

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: A box contains 4red and 2 blue marbles. Find the probability that if two marbles are drawn at random…

A: Given data A box contains 4 red and 2 blue marbles.

Q: Urn 1 contains 2 red and 8 white balls. Urn 2 contains 5 red and 4 white balls. A ball is drawn from…

A: Given that Urn 1 contains 2 red and 8 white balls. That is, the total number of balls in Urn 1 is…

Q: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: In an urn there are 18 red and 15 white balls. We choose 8 balls without replacement. What is the…

A:

Q: Suppose there are 87 red balls and 86 yellow balls in a box. Two balls are drawn from the box…

A: Probability: Probability of an event is the number of outcomes favorable to the event, divided by…

Q: Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: Suppose a 5 card hand is drawn from a standard deck of 52 cards. What is the probability that there…

A: In a standard deck of 52 cards, there are 4 suits (hearts, diamonds, clubs, spades), each with 13…

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Q: A card is drawn from a pack of 52 cards. What is the probability of getting a queen card?

A: Since you have posted multiple questions, we will provide the solution only to the first question as…